1. Simultaneous Equations
Flavian Brian Fernandez (06)

2. Objectives What are simultaneous equations?
Uses / applications of simultaneous equations
The ‘Elimination’ Method
The ‘Substitution’ Method
Summary

3. Simultaneous equations
What do we mean by a pair of simultaneous equations with a unique solution?
It refers to two equations involving two unknown variables which have the same solution

4. Simultaneous equations
Why do we need to learn how to solve them?
See Worksheet 1
Simultaneous equations crop up in most scientific domains.
However, we DO come across simultaneous equations even in our daily lives!!

5. Simultaneous equations
So, how do we solve them?
The Elimination Method
The Substitution Method
The Graphical Method
…Matrices??..

6. The Elimination Method
Try page 1 of Worksheet 2 yourselves first…
Interactive Online Applet
Complete Worksheet 2…
Discussion

7. The Substitution Method
Try page 1 of Worksheet 3 yourselves first…
What can you conclude?
Complete Worksheet 3…
Discussion

8. Summary
We have only seen two of the four possible ways of solving simultaneous equations.
These are valuable tools that give us choices when solving simultaneous equations  must know both methods well!!
Concept Map